Question

X and y together can complete a project in 6 days if x works alone on the project we will take 5 days less than y to complete the project alone​

Answer 1

$\huge\pink{\fbox{\tt{࿐Aɴѕωєя࿐}}}$

A & B working together do work in 6 days.

A takes 5 days less than B.

Let B takes x

$⇒A=x−5$

$\frac{ 1}{x} + \frac{1}{x - 5} = \frac{1}{6}$

$\frac{ x - 5 + x}{ {x}^{2} - 5x} = \frac{1}{6}$

$12x - 30 = {x}^{2} - 5x \\ {x}^{2} - 17x + 30 = 0 \\ {x}^{2} - 15x - 2x + 30 = 0 \\ x(x - 5) - 2(x - 5) = 0 \\ (x - 2)(x - 5) = 0$

$⇒x = 12 \: or \: x = 15$

$As, x<5     so x=15 \\ </p><p>then A=10 days & \: B=15 days</p><p></p><p>$

Hence, the answer is 10,15days.

$</p><p>\large{ \green{ \bold{ \underline{ \underline{ \overline{ \overline{ \pink{hope \: this \: helps \: you \: \: ✌}}}}}}}}$